Published February 1978
| Version v1
Journal article
Selfadjointness of the Liouville operator for infinite classical systems
- 1. Camerino Univ. (Italy). Istituto di Matematica
- 2. Rome Univ. (Italy). Istituto di Matematica
- 3. Ancona Univ. (Italy). Istituto di Matematica
Description
We study some properties of the time evolution of an infinite one dimensional hard core system with singular two body interaction. We show that the Liouville operator is essentially antiselfadjoint an the algebra of local observables. Some consequences of this result are also discussed. (orig.)
Abstract (German)
Die Arbeit untersucht einige Eigenschaften der Zeitevolution eines infiniten eindimensionalen Hard-Core-Systems mit singulaerer Zweikoerperwechselwirkung. Es wird gezeigt, dass der Liouville-Operator im wesentlichen mit der Algebra lokaler beobachtbarer Groessen antiselbstadjungiert ist. Einige Konsequenzen dieses Ergebnisses werden diskutiert. (orig.)Additional details
Identifiers
- DOI
- 10.1007/bf01609415;
Publishing Information
- Journal Title
- Communications in Mathematical Physics
- Journal Volume
- 58
- Journal Issue
- 2
- Series
- Commun. Math. Phys.
- Journal Page Range
- 113-129
- ISSN
- 0010-3616
INIS
- Country of Publication
- Germany
- Country of Input or Organization
- Germany
- INIS RN
- 9392702
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- CLASSICAL MECHANICS; EQUATIONS OF MOTION; LIOUVILLE THEOREM; MATHEMATICAL OPERATORS; PHASE SPACE; TIME DEPENDENCE; TWO-BODY PROBLEM
- Descriptors DEC
- DIFFERENTIAL EQUATIONS; EQUATIONS; MANY-BODY PROBLEM; MATHEMATICAL SPACE; MECHANICS; SPACE
Optional Information
- Notes
- 17 refs.; Updated automatically by Metadata and Full-Text Enrichment Agent